Intermediate Algebra for College Students (7th Edition)

by
Blitzer, Robert F.

Answer

$f(x) =(2x+4)\sqrt[3]{4}$

Work Step by Step

Factor the expression inside the radical so that at least one factor is a perfect cube, and then simplify to obtain:
$f(x) = \sqrt[3]{8(x+2)^3(4)}
\\f(x)=\sqrt[3]{2^3(x+2)^3(4)}
\\f(x) =2(x+2)\sqrt[3]{4}
\\f(x)=(2x+4)\sqrt[3]{4}$